3 papers
math.DG2026
Counting Minimal Lagrangians Via Mirzakhani Functions
Ben Lowe, Fernando C. Marques, André Neves
We show that for the number of genus minimal Lagrangians with area at most in a product of hyperbolic surfaces grows on the order of , with an explicit le…
math.DG2024
Minimal Submanifolds and Waists of Locally Symmetric Spaces
Mikolaj Fraczyk, Ben Lowe
We study the higher expansion properties of locally symmetric spaces, with a particular focus on octonionic hyperbolic manifolds. We show that codimension two minimal submanifolds…
math.GT2024
Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms
Amina Abdurrahman, Anshul Adve, Vikram Giri +2
We study two quantifications of being a homology sphere for hyperbolic 3-manifolds, one geometric and one topological: the spectral gap for the Laplacian on coclosed 1-forms and th…